On Windows, I can leverage clip.exe to store the output of the most recent paste into the clipboard.

pbget | clip

Getting content from my phone's clipboard to my Desktop's clipboard is now nearly automatic, and thanks to pastebin.com is archived for 24 hours. And as a bonus, I'm not limited to accessing the phone's clipboard from a local computer. Any server with curl and a net connection can now get quick access to my phone's clipboard.